Atkin-Lehner |
2+ 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10488a |
Isogeny class |
Conductor |
10488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-208417536 = -1 · 28 · 34 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 -5 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,143,181] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] [9:46:1] |
Generators of the group modulo torsion |
j |
1254444032/814131 |
j-invariant |
L |
4.4974471552556 |
L(r)(E,1)/r! |
Ω |
1.1117483537565 |
Real period |
R |
0.25283639616265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20976b1 83904r1 31464h1 |
Quadratic twists by: -4 8 -3 |